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%I #4 Jan 17 2014 17:08:52
%S 39,181,181,815,1473,815,3741,11239,11239,3741,16999,89555,143183,
%T 89555,16999,77701,703565,1947197,1947197,703565,77701,354015,5579529,
%U 26090277,46727365,26090277,5579529,354015,1615917,44112111,354374671,1101519021
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the upper median equal to the lower median in every 2X2 subblock
%C Table starts
%C .......39.........181............815.............3741...............16999
%C ......181........1473..........11239............89555..............703565
%C ......815.......11239.........143183..........1947197............26090277
%C .....3741.......89555........1947197.........46727365..........1101519021
%C ....16999......703565.......26090277.......1101519021.........45610599689
%C ....77701.....5579529......354374671......26513929449.......1940827721603
%C ...354015....44112111.....4798700327.....636000634655......82270776987717
%C ..1615917...349456139....65170792525...15322368309233....3506876818446715
%C ..7368343..2766556005...884485021717..368889441554023..149366054184193657
%C .33618069.21911565169.12011793919475.8889119296332995.6369053509470841885
%H R. H. Hardin, <a href="/A235981/b235981.txt">Table of n, a(n) for n = 1..161</a>
%F Empirical for column k:
%F k=1: a(n) = 4*a(n-1) +7*a(n-2) -22*a(n-3) +8*a(n-4)
%F k=2: [order 9]
%F k=3: [order 22]
%F k=4: [order 61]
%e Some solutions for n=3 k=4
%e ..0..0..0..0..1....0..0..1..0..0....0..0..0..1..0....0..0..0..0..0
%e ..0..0..0..1..1....0..0..0..0..1....1..0..1..1..2....0..2..0..1..0
%e ..0..0..1..1..0....1..0..0..1..1....0..0..0..2..2....0..0..0..0..0
%e ..0..1..2..1..2....0..0..0..0..2....0..0..2..2..0....0..0..2..0..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 17 2014
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